Confused about adding a soundbar to my TV/Blu-ray setup

[Spooked]

Most of the in-depth home theater discussion is way over my head (and budget), so bear with me if I seem a little slow on the uptake here.

My bedroom currently has a 42" Samsung Series 6 6300 television, a Sony BDP-S5100 Blu-ray player, and I'm looking at adding a soundbar to he mix. I'm leaning towards the Denon DHT-S216 Slim Home Theater Sound Bar.



So using the 'Setup 2' option I found at https://www.cnet.com/news/hdmi-audio...for-beginners/, should I anticipate problems with audio lag? (Second graphic above) It's the one thing that probably bugs me more than anything when it comes to watching movies, and coming from the days of single left and right speakers, this new method just looks... fishy? I don't know, I guess I'm just not sure how there wouldn't be lag. My brain is looking at the graphic above and saying "Well the sound from the Blu-ray player will arrive before the picture and throw everything slightly off..."

I use this television for watching movies on disc only, so I don't have to contend with any issues of cable / streaming / gaming, ect. Does anyone have any advice or experience with these kinds of setups?