Two points to raise apart from the two papers you quote coming to different conclusions off similar data sets
They look at levels of commuter cycling in a city and compare it with the number of bike lanes and find a positive correlation. But as they say of their conclusions "People may be commuting by bicycle more because
there are more lanes and paths. Alternatively, because people are commuting by bicycle, the city is building more
bike lanes and paths."
The second is what correlation they find is for Type 2 (on-road bike lanes) not Type 1 (segregated lanes or share use sidewalks).
The problem with these types of study is they cannot tell which caused what which is why the changes over time papers are the most useful. So they look at what happened to cycling levels when facilities were built and they show no significant change. So there was a fall in cycling when Dublin built its network, no change when the Netherlands built their network, no change when Germany built its network and no change when the Danes built their network. The flagship Delft cycle route project assessment found "A route network of bicycle facilities has, apparently, no added value for bicycle use or road safety"
In the UK too the experiment has been done with new towns built with a completely segregated cycle network designed in from the beginning. Stevenage, Milton Keynes and East Kilbride cycle networks are almost deserted with very low commuter cycling levels.
About the only such study showing an increase was a Danish one doing a very detailed before and after study of the construction of cycle facilities including "route shifting" i.e people switching from other routes to use a facility. They found a 5-7% increase in cycling (cycle lanes) and 18-20% (cycle tracks) but a 10-15% increase in injury rates. Other measures have a far greater effect than that if you want to increase cycling. For example while building the cycle commuting network in Dublin led to a fall in cycling, the Dublinbikes bike share scheme has been a runaway success in getting people to cycle. Boris Bikes are doing the same thing with many new cyclists going on to buy their own bike for commuting.