At the risk of committing a cardinal sin of pseudo-CP (name-dropping

), take Deleuze as a CP case in point: his pre-Guattari history of philosophy work has a concatenating effect where each work builds on the insights of the previous. This can be disorienting in itself when reading these head-spinning works in isolation, but by the time of Capitalism and Schizophrenia with Guattari he feels finally free enough of the burden of philosophical history to go a little crazy. If this is where most people come in to his work and don't have the same resources (20+ years worth of reading, teaching and writing on Hume, Kant, Leibniz, Hegel, Bergson, Nietzche...) to draw on, their appreciation of the issues will inevitably be more shallow.
On the other hand D&G did intend CaS to be a punk-style rupture with the past, so in a sense this may not matter - they stress doing/making over meaning/interpretation anyhow. So just as post-punk diverged between the avant-garde and reductive three-chord thrash, so D&G-influenced stuff varies between name-dropping pseudo-theory and serious philosophy, with many points in between.
D&G's thesis in What Is Philosophy? is that philosophy is the creation of concepts and a fundamental creative activity of human thought - the other two being science and art. To expect philosophy approach the condition of science, maths or logic is therefore simply misguided (and they have some fun mocking the limited range of logic's subject matter e.g. "some cows are brown" etc!).
A more general point is that like AP, CP tends to question the foundations of thought, knowledge, the self etc but unlike AP, not in the name of pre-supposed ideals like truth or humanism, but to also investigate what shapes and guides these pre-suppositions. And CP also tends to see the self-questioning and development of a concept or theory as a valid process, rather than submitting a thesis to a rigorous interrogation with a true/false judgement as the goal. Their point tends to be that thought is an adventure and a creative constructivism and must account for its internal inconsistencies and aporias, the non-thought in thought (just as music grapples with disharmony, noise, silence, and found sound as well as "pure" melody and form, or physics investigates the outer and inner limits of space-time, sub-atomic matter, anti-matter etc).
I'd be interested in hearing Louise's AP-motivated questions that she couldn't get answered adequately, to see if some folks around here might attempt to do so.