We just went through a month of **bleep** with Vimeo. As of June 27, Vimeo is no longer supporting playout to any third party (it will only play on a Vimeo app, and the user has to screencast to a TV). They aren't telling anyone this. We found out, like everyone else, because our titles were not going live in Roku.
In addition, you should be aware that if your channel is successful, Vimeo has a 2000 GB bandwidth cap and if you exceed that cap, they will threaten to terminate your Vimeo account (as in forever, you can never have another Vimeo account, in theory), unless you move to a plan that is $300 per month (minimum) and 30,000 GB per month. We asked for time to ramp up to that (we exceeded the bandwidth cap by like ... 100 - 300 GB, i.e., we were at 2100 GB - 2300 GB, nowhere near 30,000 GB). They were very unfriendly and unhelpful.
We were actually willing to try the higher plan (we did not have another short term option), and asked about the playout issue. If we moved to the more expensive plan (any of the more expensive plans), then would the vimeo links work in our apps? The answer is - NO. We went back and forth with Vimeo, had to get a supervisor involved, and eventually threatened legal action if they shut down our account because their TERMS OF SERVICE (the contract with YOU), does not clearly say they can terminate a fully prepaid annual plan, when they unilaterally have changed the functionality of the account. Just passing on this info and hope you find it helpful.