Provided the ARM juggernaut is expected to streamroll Intel's business in the coming decade, this acquisition does make sense for Intel... this could be their Facebook+WhatsApp moment.
If Nvidia was blocked from acquiring ARM, then I certainly think that Intel would be blocked as well. Plus, Intel does not need to actually acquire ARM to start making ARM processors. For example, Apple has done just fine licensing ARM IP just like everybody else.
To be clear, Apple is not licensing ARM IP "just like everybody else". They have a very different relationship, being a founding shareholder, and then acquiring an "Architecture License" from ARM after also acquiring PA Semi according to Wikipedia.
So Apple Silicon is not the same as someone else licensing ARM IP.