Boomer
It is not a bad idea in the right conditions and track to have softer tyres and more stops when it gives you good pace, and when you are able to put your cars in the right positions. 7 stops all SS is one of the winning strats in Eur iGP 100% distance, for example.
The risk with the overcut is how much time you lose initially when you have heavier fuel than the others, worse if those running softer tires are able to run in optimal temps and above 50% wear for a long period of time, as when both soft & hard tires are in optimal temps and wear, softs are usually faster, and soft tire runners usually run with lighter fuel compared to hard tire runners. If you lose too much time over your long stint, even your overcut will not be able to help you catch up. And maybe you may burn too much KERS early on to stay in the DRS train in a heavier car with harder tyres.
So both of these general ideas of strategy: (1) softer tyres & more stops/shorter stints for more quick pace but in narrower windows (once softer tires reach below 50% wear, pace will gradually drop, how dramatic it'll be depends on conditions), & (2) harders tires & less stops/longer stints for relatively more even pace but heavier for much longer (harder tires are the definite best tire in hot conditions when softer tires overheat easily though), have its own benefits & costs, and the track & track conditions also play a big factor into how well each strategy may work for you.
If you really get familiar with each of the tracks, you'll find they all have different characteristics (ease in following cars to get DRS/a DRS train forming, ease/difficulty in getting tire temps, length of DRS straight & strength of DRS effect, length of pit lane relative to track, etc.) that will factor into which strategies and in-race tactics would be most suitable for you. The strategies other managers use, their skill, & how full your league is are other big factors.
So it's a 50/50 chance