OP: your question is hard to answer as "smoother" is not really quantifiable without more context. However I'll try to answer you anyways in what I consider smoother. (less hitching, load times of applications, multi-tasking, gaming, etc).
If I'm interpreting what you mean by smoother then yes of course on modern desktop operating systems more cores will give you a smoother desktop experience than less cores. AMD FX smoother than Intel? No, not unless you're comparing a Core i3 or maybe an i5 in rare cases to an overclocked FX 8320E while having a boatload of applications fighting for CPU resources.
I currently own an AMD FX-8350 and I honestly can't tell the difference between it and my much more expensive Core i7-5930K or 4790K systems for regular tasks. Regular tasks for me being (40'ish tabs in chrome, 20'ish more in Firefox all with CPU intensive adblockers and privacy tools installed, VPN client running, Outlook Mail, Spotify streaming music, BOINC running POEM++, VMWare with a few VM's running, several large PDF's, Excel and Word files open, Anti Malware / Anti Virus, IRC client and usually a photo editor all open and running at the same time, etc).
I suspect it's because I'm never really maxing out any of these processors fully on the desktop and all systems are maxed out RAM wise and have extremely fast SSD's. I do notice a difference while playing some CPU intensive games but not to the point where I feel the 8350 is holding back my Geforce 970 or Radeon 390 from a decent gaming experience. I haven't done extensive testing with Crossfire Fury X's on anything but the 5930K but I suspect the 8350 would handle the cards just fine at 1440P/4K. Freesync and Gsync have helped mask some of the tremendous framerate swings Digital Foundry always likes to harp on so these "lower end" CPU's don't really affect the gaming experience if you have a decent monitor with these capabilities.
All that being said why is there so much hate towards the AMD FX processors around here? or actually AMD in general?
I understand AMD marketing made the FX chips out to be the best thing ever before release (that's what marketing teams are hired for, that's their job, they lie for a living, just like lawyers do) so were you an early adopter and bought one at an inflated price and feel betrayed that you were lied to?
Since release the market have decidedly put these FX chips at the prices they belong and currently they offer a great value if you want a PC that's not excellent at anything specific but pretty good handling most computing tasks provided you have an SSD and a decent amount of RAM (but that's true of almost any processor released in the last five years). If you happen to be lucky enough to live near a Microcenter they are stupid cheap (8320E + FX99 board) for ~$160.00 but even at NewEgg prices they're still a good value. DDR3 is still cheaper than DDR4 and the even some the cheaper FX boards have kept up feature wise (M.2 PCIe, USB 3.1, 1150 audio etc).
Anyways, it's natural to have brand preferences and bias (I fully admit I've written some stupid posts in this area) but I really question some of people on this forum who here who are super pro or vehemently anti (vendor of choice) and feel the need to constantly defend or attack other members for choosing a specific product. Maybe I'm just getting old but try being a little more objective?
My 2 cents.