Your CR2032 coin type batteries are Lithium metal, are not Lithium Ion, different rules apply.
https://www.tsa.gov/blog/2013/06/11/...ries-your-trip
I know you did not ask about the bigger batteries like e-bike batteries, but someone will assume that they can take their big battery on a plane, this is pertinent to larger batteries.
https://www.tsa.gov/travel/security-...or-less-device
When I bought my powerbank battery pack, the manufacturer literature made a point of saying it was less than 100 watt hours of capacity and could be carried in carry on luggage, mine is 44 watt hour capacity.
I carry spare CR2032 batteries when I fly, they are packed with my blood sugar meter that is in my carry on. I did not realize that small spare coin type batteries like that were prohibited in checked luggage, must be in carry on baggage until i read one of the rules I listed above.