That's with every dialect of English. English has phonemic stress, i.e. the way you stress a word can change its meaning or make it unrecognisable unless you're speaking to an English-speaker familiar with people who speak English coloured by whatever your native language is. This is a particular problem for French-speakers, since French doesn't have phonemic stress.

British and Irish people will probably understand French-accented English better than Americans because of greater exposure to French.