Can using Sticker Match lead to restrictions or bans on Royal Match?

Absolutely not. Sticker Match and Royal Match are two separate and non-integrated platforms. Sticker Match provides a system to help users find others for sticker exchanges; it has no access to or influence on Royal Match’s systems.
It is impossible to receive a ban on Royal Match due to the use of Sticker Match, as the two apps are completely independent. Your Royal Match account is therefore safe and unaffected by your use of Sticker Match.