[Galaxy Tab 3 10.1 Android Development] r2d23cpo:
[MENTION=2342414]ebue[/MENTION]

Weird [MENTION=5864662]moonbutt74[/MENTION] has not shown yet. He is better expert.

Galaxy Tab 3 10.1 4G P5220 16G, yes is the same International 4G, the 4G model seems to holds all 4G-LTE variants, in fact their is a lot of 4G/LTE frequency variants.

Listen if you are not comfortable doing a copy of your current actual Stock Recovery that is fine. Do not do it. Usually that is the 1rst thing I do. But most people here do not care about it.

As for "pit", pit is the file that described how your tab is partitioning, that is the only way I know to compare different TAB models. Again if you are not comfortable please do not do it.

Some people had here claim Recovery in all 3 models are compatible. That is not true at all!. There are files in the recovery that described your Tab3 model.

But I can tell you this, for many month I did use the TWRP/CWM files available here, there where the only one made for P5200 3G model. All work find until recently, Many of us found that we P5210 owners could not upgrade to KK because under Recovery our Tab3s believed they where P5200 due to the wrong recovery and did not accepted the KK for P5210. This was not a big deal thanks to [MENTION=5864662]moonbutt74[/MENTION] because he build a Recovery for us, that repair our wrong Recovery.

Now I will expect( I said expect, do not know until I see a pit ) the same apply to you, You will be able to install and use TWRP/CWM made for TAB3, but unless it was really designed for your P5220 model you may see similar issues when installing update.zip files.

So that was the bad news! I did a search for you and found [MENTION=5378432]Restl3ss[/MENTION] had threads for your P5220 models:

Samsung Galaxy Tab 3 > Galaxy Tab 3 10.1 Android Development > [ROM] 100% Stock 4.2.2 GT-P5220(LTE) [Deodexed/Rooted build also available] => http://xdaforums.com/showthread.php?t=2624466

Samsung Galaxy Tab 3 > Galaxy Tab 3 10.1 Android Development > [ROOT-METHOD] [4.2.2] custom superSU flashable zip (works on all 3 models) =>http://xdaforums.com/showthread.php?t=2642796

I give faith that he is one of the best developers we have, I will then assume he has done his assignment. In custom superSU flashable zip (works on all 3 models) he point as a working TWRP this thread made by [MENTION=1649190]Angel_666[/MENTION]. Even thought it is not Clear it is indirectly insinuated that this work for P5220!

As you has seen I has call the attention to all [MENTION=5378432]Restl3ss[/MENTION], [MENTION=1649190]Angel_666[/MENTION], [MENTION=5864662]moonbutt74[/MENTION].

As you see the previous are the Best developers we have. Without implying witch is the best, I think that the latest improved recoveries should be downloaded from:

Samsung Galaxy Tab 3 > Galaxy Tab 3 10.1 Android Development > [Recovery] Philz Adv CWM 6.55.0 - CWM 6.0.5.0 - TWRP v2.7.1.0 - AROMAFM GT-P5210 => http://xdaforums.com/galaxy-tab-3/development-10/clockworkmod-recovery-6-0-5-0-gt-p5210-t2830871

So remember You and only You will be the only responsible of you decision.

You can make a copy of your current Stock recovery!

You can make a copy of you pit.

Be nice and post a copy of both stock and Pit for us to see.

Or you can venture and test the latest TWRP, I do prefer "Philz Adv CWM 6.55.0".

Hopefully our masters will comment and clarify you.

Good luck.