Husserl on the constitution of real objects. Time is always a thorn in our side. Husserl certainly wasn’t attempting to look at the physical aspect of ‘time’, but to come to a better appreciation (‘adumbration’) of consciousness in regards to time as an aspect of experience - with little to no concern of the physicality of time.
It is certainly a jumble of jargon trying to navigate this and from what Husserl himself says about having a deep suspicion (almost to the point of disregard) about anything called a ‘conclusion’. The phenomenological investigation - as Husserl appears to mark out - isn’t something that actively searches in the belief of a final conclusion much as physics isn’t about the belief in one formula to describe the universe, yet the mathematical models certainly play out ‘as if’ there is an ‘answer’.
The biggest problem I see in understanding Husserl - for myself and in others - is the inclination to parcel him into this or that category when he effectively picked up on several points of those before him and set up an historically ‘different’ approach to anything within his generation (at least as far as I can tell). Then there is the digression from his position to where Heidegger went and, as you mention, others too like Derrida - neither of whom seem to do much more than appropriate everything he says to some strange twisted ‘philosophy of language’ that was welcomed by religious/artistic individuals in an almost clandestine manner.
That said I have certainly found some of what both Derrida and Heidegger say to be useful, be it negatively or positively, in regards to looking at Husserl’s work - which remained a growing work that he actively worked on and changed over time adding to the obtuse nature of an already atypical line of investigation (‘subjectivity’).
I don’t regard Husserl as either an ‘idealist’ or a ‘realist’. He was a ‘phenomenologist’, which is had to accept as ‘neither’ of the others yet not in ‘opposition’ to them. Even if you don’t agree this perspective works just coming to terms with it in order to say so makes you question just that little bit further prior to dismissing it out of hand.
I was quite struck recently by how the shadow of Nietzsche runs through the fringes of his ideas - but I’m likely reading something into that point as I’ve looked reasonably closely at some of Nietzsche’s stuff.