I only talk about P&G when it relates to the topic. I got trolled in saying the person hasn't heard of MS or P&G, only GE out of my list. As I had practical experience with P&G, I talked about its exclusivity, which was directly an argument aimed at the poster, who trolled me successfully.
I don't really feel the need to brag about P&G, but when I do talk about, and it relates to the topic, it's either to demonstrate a point (e.g. someone asks how hard it is to get marketing jobs: i outline my experiences and my results), or if I feel that promoting P&G as a company would be good.
For example, it would be good for For3verpink to apply for P&G's HR internships, thus I told her which brands are in the P&G portfolio: my subtle way of advertising the company
It's not dissimilar to promoting your internet service provider if you're happy with them on a forum, your favourite bands, or your university. I even promote companies from other sectors which I believe are better than others (e.g PWC in the Big 4) and I'm hardly bragging about being accepted by them, as I haven't.
Also, you only really go onto the general tertiary and tertiary commerce forums. I only really answer questions on marketing, where I give examples of experiences as a brand manager, or general grad opportunity experiences. You only see a couple of my posts out of 100s I make in a month, so are only subjected to my pro-P&G views.
In summary, after my long-winded rant, yes I'm proud of being selected for P&G, but I don't do it to brag. Although it's an awesome job, and my dream job, it's still a 'freaking job'. I will, however, brag about uni marks