Ovechkin has 17 individual awards, 9 maurice richards! Beliveau got 6 individual awards. Theyre not even close.
Without getting into the specifics of Beliveau vs Ovechkin, keep in mind that there are more awards available today, which makes it easier for superstar players to get a higher trophy count.
For example - Beliveau led the league in goals twice. The Rocket Richard trophy wasn't around then (obviously - because Rocket Richard was still alive). But leading the league in goals is an objective statistical result. Either both players should get credit for doing this, or neither should.
The Conn Smythe trophy wasn't introduced until Beliveau was in his mid 30's (he still managed to win one). It's almost certain he would have won the Smythe in 1956 (he was the best player on the Cup winning team, set the all-time record for goals, and was one point short of the all-time record for points). It's not Beliveau's fault the award hadn't been created yet.
Also consider the Ted Lindsay award. That wasn't around back then (because Ted Lindsay was still playing). There's around a two-thirds overlap between the winner of the Hart and the Lindsay. Since Beliveau was a two-time Hart winner, he probably would have won one or two Lindsay awards.
I'm intentionally not going to comment on Beliveau vs Ovechkin. But my point is - when looking at older players, you need to keep in mind that there were many fewer awards that were available, which makes it misleading to compare trophy cases 50+ years apart. Had all of today's awards been available during Beliveau's career, he was probably would have won 4 or 5 more.