Any disruption from removing Storrow would not be a permanent carpocalypse.
Can you think of a single case where an urban highway removal actually resulted in a carpocalypse? Not saying it hasn't happened, but I can't think of an instance where a pre-planned highway closure resulted in chaos. I guess the best I can come up with is the 35W bridge collapse in Minneapolis but obviously that was unplanned. But even then, there as anywhere, a portion of the traffic did just vanish - as some chose simply to not make trips that would have required 35W. This is simply the reverse of induced demand, a phenomenon which I would hazard nearly everybody on this forum believes to be real.
That said, the congestion on the detours was pretty bad for a while as people figured out the best alternate route. I recall this got a little better as people settled into new patterns. Throughout the closure, the detour routes certainly saw heavier traffic and more congestion, but there wasn't mass hysteria. Compounding this situation, it was unexpected so nobody was able to plan in advance (neither individuals through researching alternate arrangements, nor transportation agencies, through TDM.) Also, the closure of 35W was universally understood to be a *temporary* thing, so many people resisted making structural changes to their lives to accommodate it. Finally, 35W was a more dominant road than Storrow/SFR, carrying a relatively larger portion of the total traffic in its corridor (catchment area?). Note that I am not suggesting to close the Pike.
In cases like road work on I-95 in Virginia or something, this can result in long delays, but it's also reasonable to assume that since roads like this carry a large portion of long-distance travel, somebody from New Jersey heading to Georgia wouldn't necessarily be aware of construction in Virginia and would thus not adjust their travel plans accordingly. In addition, for many portions of the I-95 corridor, especially in rural areas, there are often no credible alternative routes, or the ones that do exist are woefully undersized in comparison to the mainline interstate.
In the case of Storrow and Soldiers Field, it can be readily assumed that nearly every driver there uses these routes habitually. These people can all be informed of the closure and plan ahead. Massdot and the city can use TDM to educate and provide alternatives. There are plenty of alternative routes, including Memorial Drive, the Pike, and Commonwealth, so the impacts from trips moving to other routes can be spread out. If some of the people currently driving on Soldiers Field switch to the Pike, and that makes the pike a bit more congested, then maybe some people who previously used the Pike would consider alternatives. So the impacts in that sense get spread around.
It's quite striking that I can find a number of posts on this very forum saying "Gosh it would be nice if Storrow could go away" but when presented with an opportunity to actually do this, y'all are getting gun shy. Why?