I don't think the Crowdstrike Conspiracy Theory was designed to embarrass Trump - it was designed with two purposes in mind
1. to deflect blame away from Russia for the hacking of the DNC server and the interference in the 2016 US election.
2. to sow distrust between Ukraine and the USA, thereby isolating Ukraine from its primary ally.
House Republicans are doing a bang-up job of helping Putin out with his mission.
Don't forget that Putin was a KGB intelligence officer for sixteen years - he rose to the rank of Lt Col by 1991, at which time he left the KGB to pursue a career in politics. The stock-in-trade for organisations like the KGB and its successor, the FSB, is deflection, distraction and obfuscation, and Putin will be well versed in those techniques. They have tried blaming the Sergei & Yulia Skripal nerve-agent attacks on British Intelligence, they have tried to blame the Ukrainian Army for the shooting down of MH17.