Personally, I find silk to be much better. I find lycra ones a combination of too restrictive and too warm/insufficiently breathable. Plus, as mentioned above, you can still do stuff without removing silk liners (though, truth be told, I've never picked my nose with them on)
I have some good ones I got from
Decathlon - not the ones linked to above, similar but more minimal and no doubt no longer available. I also have a pair I like that I got from Lewis Kit (they do/did triathlon gear) but I don't think the company exists any more. They really don't have to be cycling specific and probably any decent outdoor equipment shop (Blacks, Field & Trek, etc etc etc) will have silk liner gloves. Less is more imho so I avoid anything with long/bulky cuffs or prominent stitching.
I have to say thought that I do run hot so tend not to overdress. I have a pair of winter gloves that I very very rarely wear because they are simply too warm for all but the coldest of weather (ditto socks btw)