I've not seen those specific ones but having shopped around for cheap walking shirts it seems all the big stores have similar polyester t-shirts and they all work fine.
They all claim various miraculous functions and technologies but it's just woven polyester - absorbs sweat and spreads it out where it evaporates relatively quickly, or soaks into the next layer depending.
I watched a YT vid on this and they tested various base layers and they concluded that the fibre choice is the thing that really matters: polyester, polypropylene or merino - all have advantages/disadvantages, take your pick. Very little difference between a £5 one or a £50 branded one, apparently.
So I'm sure it will be fine.