Time Atac Pedals

Nope. The difference will be lighter weight and perhaps better bearings.

Those Shimanos are 3-bolt road shoes so not suitable for ATACs. You need 2-bolt MTB style shoes if you want to use double-sided ATAC pedals.

Shimano RT range is is their Road Touring SPD shoe so are for 2 hole MTB cleats. Recessed for walking too.