"may well suggest" is a correct phrase and is commonly used in written English.
It means that something is possible or likely to suggest or imply something else. Example: The data from the experiment may well suggest that there is a relationship between exercise and weight loss.
They may well suggest the detractors suck on that.
It may well suggest that the margin of his victory depended on votes cast in dubious circumstances.
These findings may well suggest that the Taipei basin has been formed in last 0.4 Ma and that the Shanchiao normal fault commenced its activity within this period.
In that conversation two weeks from now, Gulati may well suggest Bradley lighten up his control and trust the players to push more early in games.
Confucian ideals of loyalty to family and friends and Protestant individualism, for example, may well suggest different notions of the good, and the pluralist holds that neither need be wrong.
Together, those findings may well suggest that the more often a product is updated with new features, not just bug fixes and security patches, the safer it's likely to be, which is why the authors also say their findings have "significant implications for software engineering principles and practice".
A study may very well "suggest" a certain conclusion but it rarely, if ever, "proves" it.
That is, a (overline{Delta m/z}) value of 58.042 Th may as well suggest the occurrence of a propylene oxide unit instead of a sum of two different units—and propylene units are known to exist for homologue series [52].
Furthermore, the amino acid substitution described for UL18 gene may as well suggest an important protein structure modification that could potentially result in the viral capsid being more resistant to the host immune system.
Reasons of public policy may well have suggested the necessity, in the interest of the government, of not allowing access to the records in the offices of collectors of internal revenue, except as might be directed by the Secretary of the Treasury.
A few "missteps" in following international law were not going to end that relationship, Brennan may well have suggested.
