Yeah but then you'd go through life having biopsies all the time. If all people did a full body MRI almost everyone would have weird lumps that doctors would have to biopsy to be really sure, and then what do you do? Do you biopsy yourself every time some weird tissue appears? Most of those will be nothing and you'll be going through the complications of surgeries and anesthesia all the time just to always make sure.
Assuming MRIs weren't exorbitantly expensive, then the answer would probably be to simply rescan a month or 2 later and biopsy the lumps that don't go away.
Assuming some future MRI technology which was very cheap, wouldn't you have MRIs at fairly regular intervals, to first see if the lump was growing or changing shape? And if this was being done at population scale, you'd train up an AI on the known outcomes, to have it flag up problems for a human to review.