For today match i think Leverkusen faced hard match considering Koln home matches records was quite impressive with total 6 matches they only lose once from Union Berlin so this is big challenge for Leverkusen to gets the winning result from this match but i personally thinking Leverkusen will be slipped today because Koln want to utilized this match to bounce back after lose from Freiburg
After surprising by overthrowing Union Berlin with a landslide score of 5-0, Leverkusen moved up to 15th place in the Bundesliga standings. Leverkusen got a positive result, after going through 6 matches without a win in all competitions. and yes, in this game. Leverkusen was tested again by playing their away match at the headquarters of Koln RheinEnergieStadion.
As for the home team, Koln also doesn't have much better stats. from 13 matches this season, Koln has only been able to win 4, draw 5 and suffer 4 defeats. but at least, they are better than Leverkusen. as you said, the home team has a pretty good record when it comes to home games.
however, IMO both teams have an equal chance of beating each other, and getting full points to increase their rankings. if we refer to the statistics of these two teams, then choosing the home team is the right choice with their home match record. however, it seems I will take the risk to bet on Leverkusen even though they have a bad record away from home.