Nah, one can never carry enough gloves along
I have 4 pairs and for the pillion I insist on at least 3 pairs... sunny and hot: lined leather gloves, for light, warm summer rain some textile/leather GoreTex with long cuffs and thin thermal insulation, for 'cooler days' a set of leather GoreTex gloves with coffs, and for 'several days of heavy downpour' I've some (probably like 10 year old) HeinGericke All Season winter gloves, Thinsulate and all that; sense of touch like wearing a space suit though, but they have
long cuffs (~5 inches), covering nearly 1/2 of my forearm, so they fit nicely and tight underneath my jacket sleeves keeping the water out, my hands totally dry, warm and comfy. And I do threat my gloves (and all gear) regular with lots of care, NikWax offers excellent products for the leather as well as the textile parts of the glove outer shells. But bike gloves with really long cuffs are hard to find these days, and also the textile/GoreTex jackets currently offered mostly don't provide the expandable sleeves with elastic bands/inserts which would give proper and tight fit over the bad weather gloves... equipping my GF was really a chase from store to store to find something that a) fits her and b) does the job... had to special order her GoreTex jacket from Italy as the ones offered locally didn't provide the expandable/elastic sleeve ends...