For a jigsaw specifically, I would look at cordless battery options over corded... especially if you plan on making directional changes mid cut (which a jigsaw is best suited for) or inside pocket cuts that eventually end where you began, with the saw's cutting edge turning back from whence it came.
Being able to focus one's mind entirely on the intricacy of the cut, without worrying about cord management, or a cord getting caught on the edge and pulling taught just as you are about to make a critical directional change, or worse, albeit unlikely, cutting the cord... is liberating.
A jigsaw in particular doesn't require the raw power that a circular or reciprocating saw often needs for the jobs one typically reaches these respective tools for, so of all the tools to run cordless, especially with today's generation of 4, 6, and 9 amp hour lithium ion batteries, a jigsaw would be an excellent application to leverage the ability to operate cord free.
A contractor friend had his all tools stolen out of his locked enclosed cabinet service body work truck at Home Depot. I happened to run into him at the check stand, and walked out of the store with him when I noticed several men in safety vests and hard hats milling around a service truck that turned out to belong to my friend. The thieves even wear costumes these days. I gave chase, but a senior citizen on foot is no match for a lawless (albeit well dressed) gang of three thieves in a (now loaded) SUV barrelling full blast out of the parking lot. I got distracted... anyway, one of the tools that was stolen was the vaunted Bosch Jigsaw.
Flush with adrenaline from having just witnessed this bold and blatant broad daylight burglary by what appeared to be an immigrant gang cloaked in bright white hard hats and safety vests, and angry for having not been able to catch them, I asked my friend to make a list of all the tools that were stolen, about $2,000 worth, and I stormed back into the store and bought them all, and wheeled the cart over to my contractor friend.
Except, I didn't repurchase his Bosch corded jigsaw. Instead, I bought the Milwaukee 18v battery operated jigsaw. I selected Milwaukee solely due to the fact that he already was using the M18 fuel battery system. I was worried at first that he wouldn't like my choice (and I couldn't involve him in the decision, because it was a spur of the moment surprise)... so in the weeks that followed, I periodically asked him if he would rather have his old corded jigsaw instead. His answer remains a resolute no! He LOVES using the cordless jigsaw, preferring it over the corded saw that was stolen.
I still have my corded (yes, also a Bosch) jigsaw. In the 90's, the Bosch jigsaws stood head and shoulders above almost every other jigsaw commonly available, and thus earned their reputation as the go to jigsaw to buy. However, a lot has happened in 20 years, and today, battery powered tools have advanced to a parity in power and performance with most hand held corded equivalents. I'm too cheap to replace my own jigsaw with a cordless one, but if faced with a decision to buy a new jigsaw today, I woudn't hesitate to go cordless.