How heavy (and bulky) of a saw I am willing to carry depends on a few things and there are levels.

• Level 1 - Pruning shears and a 7" folding saw might go along on daily rides if there is any likelyhood at all of trail blockages.
• Level 2 - Same as Level 1 plus maybe a bigger saw after a storm.
• Level 3 and beyond - whatever is needed for a specific job

For me here level 3 is generally not needed given that there are others doing maintenance and they are generally quick getting to it. With me being in my mid 70s I don't take on the bigger jobs when other much younger folks get to them promptly.