I have a 3rd Gen, and have several dozen tabs open right now, with no issues, stutter or otherwise. One is playing a video, quite a few are also larger page/webapps (e.g. Gmail, Trello, Github in a large PR). I am have the 1440p version, and am plugged into an external monitor that is at 1440p, which should be further taxing the integrated graphics, but it's not showing. I can't imagine you're coming close to hitting any memory limits with just five or six tabs, so presumably something compute related?
What five to six tabs cause stuttering?
My top spec 15" touchbar MacBook Pro happily locks it's 2.9GHZ CPU to just 1.2GHz after less than two minutes of running anything intensive (including games) and gets too hot to hold in the lap.
(And yes, pattern appears on all MacBooks we have in the company, just at different points. The 2016 locks down the CPU when it reaches about 85 degress C. Even some new iMacs do the same due to inadequate cooling.)
I just got the X1 Yoga (i5 7300u, 16GB) and so far haven't had any thermal issues with it.
Performance section: "The comparison of the two Lenovo ThinkPad X1 Carbon 2017 devices shows that the Intel Core i5-7200U can keep up very well with the Intel Core i7-7500U during continuous load. The reason can be found quickly, since the temperature goal of the Core i7 is already reached after a few seconds, so that the performance has to be throttled considerably. Thus the advantage of the supposedly much faster processor drops to a minimum"
Edit: It appears you can pay more to downgrade to an i5 on the high DPI versions.
The main application where I expect to care about sustained load on such a machine is watching movies, and even then I assume modern systems have good enough hardware acceleration that this isn't much of a load.