Not adding radials will put most of the R.F. in higher elevation not good for DX.
SWR might suffer a little, but you keep the R.F. from the coax, lower the angle of radiation back to the horizon and maximize low angle radiation.
If you install a proper RF choke on the feedline at the feedpoint of the antenna, and isolate the antenna from the mast, adding or removing horizontal radials will make no difference when it comes to the angle of radiation. In this case, the downward pointed kit radials that Solarcon sells will actually hurt performance.
If you don't have the mast isolation and coax choke installed, then adding Solarcon's kit radials will make virtually no difference, however a set of 1/4 wavelength horizontal radials will make a world of difference...
SWR doesn't mean all is well, I'd rather have a bit higher swr that I can tune and low angle radiation as a good swr with lobes going up at 45 degrees, bad for DX.
As your not actually changing the physical length of this antenna, making adjustments to the matching system won't actually change the angle of radiation. Unless you are changing the actual physical length of the antenna while tuning, as you do with some of the aluminum antennas, however, not the Imax, you have nothing to worry about when it comes to angle of radiation when adjusting the Imax for lower SWR.
The fact you need a coil at the antenna without radials already shows the antenna needs a ground plane.
And yes 17 metrs already the antenna gain drops as does the gain of the antenna, it will work, but there another dipole or better vertical will work better.
The matching system with the Imax is more than just a coil. Will it benefit from having radials? That depends actually. Generally, yes, a proper set of radials will generally benefit this antenna, at least to a small degree. However, depending on how your antenna is set up some radial configurations can be detrimental, driving the pattern high, which as you have been saying is undesirable.
One reason I replace the Imax 2000 ( yes that old is mine) with a homemade 25 foot vertical fed with a 1:4 unun on the FT 240 - 43 core, already build it and test situated at the back of the garden running 800 watts in it from 40 - 10.
That one also has 4 ground plane wires connected to it.
I hope your antenna works well for you. I will point out that at 10, 11 and maybe even 12 meters the higher angle lobe will be the dominant lobe. That being said, that doesn't mean the lower angle lobe just disappears, so it will still work. How much of that lower angle lobe is left depends on the overall length of the antenna, as well as other design elements, such as how well you control common mode currents, which at first glance your design seems to do fairly well. Have fun with that antenna, and you should create a thread with construction details...
The DB