Light weight is a red herring. Complete waste of time if you’re over about 70kg. Of all the places you can save weight, wheels should be somewhere last on your list.
Light bars/stem/seat post/saddle/chainset/cassette etc. etc. makes no difference to how they function really.
OTOH, light weight flexy wheels just don’t ride as well as 28/32 spoked hand builts. Granted, there’re no doubt some fancy factory built wheelsets that cost multiple thousands of pounds that’re both light and stiff, but for low budget just get 32 spoked hand builts. THey last longer and ride better.