I've come across a similar phenomenon with a specialized Olympus series, the dplanapo UV 20x/0.80 oil immersion. Everything gets surrounded with a bluish halo. Good example to show this is something slightly opaque like these Microcystis cells (4um diameter):
S-PlanApo 20x/0.70 (dry)
D-PlanApo 20x/0.80 (oil)
With monochromatic light (550nm) and the camera set to B/W, the situation looks better for the dplanapo, as you would expect with the slightly higher NA of 0.80 vs. 0.70:
S-PlanApo 20x/0.70 (dry)
D-PlanApo 20x/0.80 (oil)
(Olympus IMT-2 inverted, 0.55NA condenser, Imaging Source 5Mp cmos cam via 0.75x relay. Images at 100%, unadjusted for contrast/gamma)
Now this DPlanApo objective is a specialized series, produced some 35 years ago. The NA was enormous for this kind of magnification, so I suspect this abberation is a trade-off. It was originally ment to be used for fluorescence, not brightfield. This effect hardly matters for fluorescence work.
What it is I do not know for sure, I regard it as axial chromatic abberation. Why your Reichert lens shows the same effect, I do not know, as it seems otherwise bog standard. Did it perform OK on a Reichert stand?
Best wishes, René