Yes, wash the gloves.
Last summer I put my winter gloves away for the summer w/o washing, and almost couldn't make it through the first ride with them come fall. They reeked!
'Course, I use them for wiping sweat, etc. off my face, so I shouldn't have been surprised...
So far, washing hasn't done my gloves any visible harm. I line dry them, for what that's worth.
Give big space to the festive dog that make sport in the roadway. Avoid entanglement with your wheel spoke.
(Sign in Japan)
1978 Raleigh Gran Prix
2003 EZ Sport AX