If you catch the first cup of coffee that comes out of filter, will that cup be a lot stronger?

If you start a pot of coffee on a standard, garden variety, Mr. Coffee brewing machine, but instead of waiting for the pot to finish, you pour the VERY FIRST bit of coffee into your cup... that is to say, you wait only long enough for the machine to brew one cup's worth into the pot, and then you pour that into your cup and drink it immediately...

Will that cup of coffee be noticeably stronger than if you had waited to pour until the entire pot brewed? My mother-in-law SWEARS that this cup will NOT be stronger, so when she sneaks the first cup and finds it is WAY too strong, she complains to me that the problem is I'm using too much coffee when I measure out the grounds into the filter. I try to tell her that it's because she refuses to be patient and let the coffee brew until it's done, but she won't have any of it. Naturally, the problem is the amount of coffee I'm using, not her coffee brewing technique.

I've tried crawling the internet for a source with a reasonable amount of credibility, but I've come up empty either way. Can someone provide a source?