Seems that the 100-400mm lens is very picky with filters!!
Here is the story:
I got the 100-400 some days before.
While I was very happy testing the lens at the shop (compared it to 40-150/2.8 and 300/4), coming home I noticed very bad blur in the range of 350 to 400mm. From 100-300mm the lens was still perfect.
I was starting to believe my new lens is defect, but I remembered that I slapped an expensive UV filter in front of the lens as soon as I came home.
I removed the filter and voila, the lens was sharp again.
I use the same brand on my 40-150 PRO lens and I never noticed any IQ degradation. It's a Hoya HD UV filter which was tested third place in the big lenstip.com filter test. Definitely not a bad or cheap product.
I ALWAYS use filters to protect my better lenses from damage. As a replacement for the Hoya filter, I took an old Nikon filter out of my drawer. While it does much better sharpness wise, the coating of this old filter is very simple. I will buy the Olympus ZUIKO PRO filter next. Hope it does better ...

100% crop: ISO test chart at 400mm without (left) and with filter (right).

100% crop: close up with (left) and without filter (right)
Now as I know the UV filter issue, on close inspection my 40-150 PRO shows some loss of resolution too, but to a much lesser degree:

100% crop: 40-150/2.8 with MC14 at 210mm without (left) and with filter (right)
--
OM-D + Sam7.5, O25, O60, O75
O12-40, O40-150, P 14-140
Here is the story:
I got the 100-400 some days before.
While I was very happy testing the lens at the shop (compared it to 40-150/2.8 and 300/4), coming home I noticed very bad blur in the range of 350 to 400mm. From 100-300mm the lens was still perfect.
I was starting to believe my new lens is defect, but I remembered that I slapped an expensive UV filter in front of the lens as soon as I came home.
I removed the filter and voila, the lens was sharp again.
I use the same brand on my 40-150 PRO lens and I never noticed any IQ degradation. It's a Hoya HD UV filter which was tested third place in the big lenstip.com filter test. Definitely not a bad or cheap product.
I ALWAYS use filters to protect my better lenses from damage. As a replacement for the Hoya filter, I took an old Nikon filter out of my drawer. While it does much better sharpness wise, the coating of this old filter is very simple. I will buy the Olympus ZUIKO PRO filter next. Hope it does better ...

100% crop: ISO test chart at 400mm without (left) and with filter (right).

100% crop: close up with (left) and without filter (right)
Now as I know the UV filter issue, on close inspection my 40-150 PRO shows some loss of resolution too, but to a much lesser degree:

100% crop: 40-150/2.8 with MC14 at 210mm without (left) and with filter (right)
--
OM-D + Sam7.5, O25, O60, O75
O12-40, O40-150, P 14-140