Do English speakers have the worst accent when speaking Russian?

It seems that the consensus is that native English speakers have the worst Russian accent. Have a look at some of the comments I found on a Reddit thread. 

I wonder if this is to English speakers in general? I'd like to think I have a better ear than average for the nuances of languages but I may be wrong! 

Anyway, this is one of the reasons I'm spending so much time listening to native speakers. It's not that I would feel self-conscious with a strong accent. I want to make myself understood as clearly as possible and make the experiences painless as I can for the listener.

"English accent, though, ugh.Especially the Judoon-grade chunkiness. Can. Someone? Figure! Out. Intonation? Already!

Might be biased because that's the kind of Russian our crappy Hollywood representations tend to speak.

The analogy I like to use is, English is like a pulsating spectrum analyzer (the thing with the bars for different frequencies); whereas Russian is like a rollercoaster — with longer upward and downward stretches between a smaller number of peaks and drops."

"French accent when speaking Russian always sounded pleasant to me. I don’t think I’ve heard more annoying accent than English."

"Not going to lie - when i lived in Russia my English friends had some pretty horrible accents."

"I hate English accent in Russian. I think for me it associates with Hollywood portraying Russians as evil cold-blooded hitmen"

"Well, it seems to me that English accent, to be honest, the worst in any language, not only in Russian, it sounds bad everywhere."

Source: What is your most and least favorite non-native accent in Russian?