No, the names of option holders aren’t shown in a company’s cap table. When an option holder exercises their options and becomes a shareholder, then the name of that person will appear in your cap table as the legal owner of those shares.
The option pool is shown as a number of shares and as a percentage of the total shares (the total of all shares is shown as the Fully-diluted Total) - but the cap table doesn’t list how many of these options are granted or who holds option grants.
Remember, you can create an option pool as a step towards preparing to offer share options in future - it’s only when you set up an option scheme that you’ll be able to grant any options.
If you’ve created an options pool, go to Shares > Cap table > Shareholding. You’ll see the Option Pool is shown towards the foot of the table, between Outstanding Total and Fully-diluted Total.
If you set up an option scheme on SeedLegals, to see your option holders and manage your scheme, log into SeedLegals and go to Share Options in the left menu.