A tool is definitely needed with the later inverted canister type, but the tool with strap and handle is not really suitable as there is so little space to swing the handle and get hands in to clamp the canister tight enough:

I've been using this Halfords 1/2" drive chain type, with a socket wrench and long extension, on every car I've had over the past 55 years, £7:

There are strap versions of the above but the links on the chain dig into the can forming corrugations increasing the grip, whether a strap would be more likely to slip I don't know. There are also 'three-legged' types ranging in price from £11 to £340(!) which fit on the canister end, still needing a socket wrench and extension. K&N have a nut on the end so a socket can be used, but they are not worth the high price just for that.