This is true, but it's also typical that the voter demographics that are most important to the political parties vis a vis election chance (i.e. independents, swing voters, etc.) will blame pretty much sodding everything on the sitting president. Regardless of who is being actually blamed, what they did, whether the blame is accurate or a scapegoat attempt, etc., etc. Scapegoats only do so much, and they don't tend to pay out very well come votin' time.
Is one of the shakier things a party aligned sitting president is supposed to be doing, making sure that good events (so far as noted voter demographics identify them, anyway) are visible and loudly claimed (even if someone else did it*), and bad ones downplayed and as quiet as possible. Because just about everything will be blamed on the incumbent's party by swing voters -- not just the president, but their party, to a very substantial degree (relative the effect itself, anyway). So POTUS critter better be damn sure the balance is as much in their party's favor as possible, unless said critter wants to start seeing some issues as reelection time gets closer. Is one of the interesting things the GOP is looking at, really... they (conservative politicians in general) seem to be doing pretty fair at keeping shit on the down low so far as conservative media and news goes, but the problem there is that those folks aren't who win them elections. So far as electoral influence goes, party line voters and heavily politically aligned individuals barely matter, and keeping things relatively suppressed on their side of the spin is only going to do so much for 'em.
*As an example, you've been able to watch trump & co, in their normal shitty way, try to claim responsibility or involvement with Obama term projects which the latest administration had precisely sod all to do with, over the last few months. Job reports, that thing with whatever it is carson was being stuffed into and involved freakishly stupid financial reporting I've forgotten the name of, etc.