A few things:
Most importantly, I think - Steel Inquistors generally did not have feruchemical abilities. During the time that the steel ministry was active, the majority did not have feruchemy, and were unaware of compounding. Even once they began to take feruchemical powers, only a few learned to compound. If you're talking generic Windrunner versus generic Steel Inquisitor, I'd suggest that compounding is for sure out of the equation, and feruchemy is probably out as well.
It would be probably be difficult to lash a burning allomancer. Lashing shardplate (much like pushing on metals attached to skin) is very difficult, but doable - it's theorized that the lashing must have more investiture (power) than the invested thing you are trying to lash. And then it seems to decrease the power of the lashing by the difference. It seems that it's much easier to gather investiture from Stormlight than metals, so that might not be as big a disadvantage as suspected.
The Lashings do indeed require touch. The reverse lashing would still be useful against pushed projectiles, in the same way that Kaladin uses it to deflect arrows.
The Shardblade seems to sever the spiritual link between a person and their limb. It's reasonably likely that increase of investiture in a person could repair the link, at the cost of the power required. That would mean any allomancy. It's almost certain that a Gold ferring could heal it.
One thing to note is that basic abilities increase with Stormlight, and possibly all investiture. Brandon has suggested that the person's cognitive idea of themselves affects healing and ability enhancement when stormlight investiture is involved - how they view themselves. It's likely that ANY individual holding stormlight is at least as strong, fast, etc as an feruchemist tapping strength, speed, healing, and other physical things. An example: even Shallan can fall from large heights and be unscathed when holding just a bit of stormlight. Pewter allomancy, while it increases strength, is explicitly not terribly helpful in falling long distances (pushing against a coin to slow yourself or feruchemical weight tapping is used in-world for that purpose).
So in general, I think the Steel Inquisitor would be outclassed. A knight radiant would be at least equivalent at all times in the physical aspects to the Inquisitor when he was burning, and actually likely be more effective due to a wider range of bonuses.
Lastly, though - atium. A windrunner would have no counter for atium but to try to avoid being killed for as long as the atium burns. I personally feel like the outcome would basically be decided by how much atium the Steel Inquisitor could bring to bear in the match.