Account links are scoped by a developer (represented on the developer portal as a ‘company’ - see yours at https://glass.twitch.tv/company). Companies are tracked as the owner of games and you can see what games you own at https://glass.twitch.tv/console/games.
Once you have Drops set up for your company, any VHS account links (https://dev.twitch.tv/docs/v5/reference/users/#create-user-connection-to-viewer-heartbeat-service-vhs) made for your company will work for any game that your company owns. The channel must be playing a game your company owns and must also have a VHS link established for you to receive the VHS reports for that channel.
So, if you have eg CoolGame1 and CoolGame2 both owned by your company, viewers will not need to link twice so long as you’re using the same client ID for both. You could then have MyCoolChannelOne for streaming your CoolGame1 and MyCoolChannelTwo for streaming CoolGame2 (though you would need to create account links for both broadcasters) and viewers would only need to link once.