A composition comprising at least the following: A) at least one modifier selected from a) through d) below: a) R 1 R 2 C=CR 3 - -Z (Formula A), wherein R 1, R 2 and R 3 are each, independently, selected from the following: H; alkyl; heteroalkyl; aryl; heteroaryl; -C -OH; or -R-C -OH, where R is alkylene; Z is selected from the following: -OH; -O-R-OH, where R is alkylene; -NR'R", where R'and R" are each independently H or alkyl; -N -R′′′OH, where R'" is alkylene; silane; and wherein two or more atoms of Formula A may optionally form a ring structure; b) an acrylate-containing oligomer that has an Mn ≤ 1500 g/mol, and an acid value from 50 to 500 mg KOH/g; c) a random terpolymer comprising, in polymerized form, vinyl chloride, vinyl acetate, and at least one of the following: a hydroxyl-containing alkyl acrylate, a hydroxyl-containing alkyl methacrylate, or a combination thereof; d) or any combination of a) through c); B) at least one chlorinated olefin-based polymer and/or at least one functionalized chlorinated olefin-based polymer; C) at least one styrene-based block interpolymer; and D) at least one compound selected from the group consisting of the following: and/or wherein, for Formula D1, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x is an integer ≥ 1; wherein, for Formula D2, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x ≥ 1. A) at least one modifier selected from a) through d) below: a) R 1 R 2 C=CR 3 - -Z (Formula A), wherein R 1, R 2 and R 3 are each, independently, selected from the following: H; alkyl; heteroalkyl; aryl; heteroaryl; -C -OH; or -R-C -OH, where R is alkylene; Z is selected from the following: -OH; -O-R-OH, where R is alkylene; -NR'R", where R'and R" are each independently H or alkyl; -N -R′′′OH, where R'" is alkylene; silane; and wherein two or more atoms of Formula A may optionally form a ring structure; b) an acrylate-containing oligomer that has an Mn ≤ 1500 g/mol, and an acid value from 50 to 500 mg KOH/g; c) a random terpolymer comprising, in polymerized form, vinyl chloride, vinyl acetate, and at least one of the following: a hydroxyl-containing alkyl acrylate, a hydroxyl-containing alkyl methacrylate, or a combination thereof; d) or any combination of a) through c); a) R 1 R 2 C=CR 3 - -Z (Formula A), wherein R 1, R 2 and R 3 are each, independently, selected from the following: H; alkyl; heteroalkyl; aryl; heteroaryl; -C -OH; or -R-C -OH, where R is alkylene; Z is selected from the following: -OH; -O-R-OH, where R is alkylene; -NR'R", where R'and R" are each independently H or alkyl; -N -R′′′OH, where R'" is alkylene; silane; and wherein two or more atoms of Formula A may optionally form a ring structure; wherein R 1, R 2 and R 3 are each, independently, selected from the following: H; alkyl; heteroalkyl; aryl; heteroaryl; -C -OH; or -R-C -OH, where R is alkylene; Z is selected from the following: -OH; -O-R-OH, where R is alkylene; -NR'R", where R'and R" are each independently H or alkyl; -N -R′′′OH, where R'" is alkylene; silane; and wherein two or more atoms of Formula A may optionally form a ring structure; b) an acrylate-containing oligomer that has an Mn ≤ 1500 g/mol, and an acid value from 50 to 500 mg KOH/g; c) a random terpolymer comprising, in polymerized form, vinyl chloride, vinyl acetate, and at least one of the following: a hydroxyl-containing alkyl acrylate, a hydroxyl-containing alkyl methacrylate, or a combination thereof; d) or any combination of a) through c); B) at least one chlorinated olefin-based polymer and/or at least one functionalized chlorinated olefin-based polymer; C) at least one styrene-based block interpolymer; and D) at least one compound selected from the group consisting of the following: and/or wherein, for Formula D1, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x is an integer ≥ 1; wherein, for Formula D2, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x ≥ 1. wherein, for Formula D1, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x is an integer ≥ 1; wherein, for Formula D2, R is independently selected from the group consisting of the following; substituted or unsubstituted hydrocarbylenes, and substituted or unsubstituted hetero-hydrocarbylenes, and x ≥ 1.