I've embedded dozens of YouTube videos on the sidebar of my blog and I've had no problems.
In fact, using this technique has enabled me to get a decent amount of views on YouTube and get quite a number of subscribers.
It is a fairly passive way of promoting your YouTube channel.
Every single time somebody finds your article on Google search results, they load your page and on the side of the page are your videos.
I would suggest, though, that you invest in attention-grabbing thumbnails.
I didn't do that because I use software to generate my videos.
Still, If you get enough clicks on your videos, this can translate to a decent amount of views because your channel is piggybacking on the organic traffic your blog posts are getting from Google.
This can create a feedback loop where the traffic you get from YouTube can lead to more page views.
The same with organic traffic from Google searches can lead to more content page views.