Howard does not care if his lawyers are dirty. Howard did a lot to placate Chuck and exploit his talents, and ironically it would turn out that Chuck's talents involve many underhanded tactics that carefully toe the legal line. For example in Chicanery, Chuck insists "I didn't entrap you. I provoked an admission in adverse interest. That's not the same thing." He is making a legal distinction to distract from his unethical actions; his scheming combined with his deep-seated grudge and untreated mental illness is why the bar association shows incredible lenience toward Jimmy. Jimmy's scheming is a familiar perk, not a downside.
The McGill wiles aren't the only reason. Howard witnessed and admired Jimmy's earnest advocacy of a student, which echoed the tough encouragement Jimmy gave Howard at his lowest moment a year prior. It would also be a righting of a wrong; now that Chuck isn't there to sabotage, Howard can finally hire a very cunning and motivated lawyer.
Howard made the mistake of thinking Jimmy was healthy enough to move on from his exclusion from HHM and Chuck's suicide. He never understood the true significance of Jimmy working at HHM with his brother, so he thoughtlessly extended what he thought was an olive branch and a chance to revitalize HHM with another Hamlin-McGill leadership. He does rescind it over the bowling balls and the hookers.