In my view the term “amphiphilic” or “amphipathic peptides” is the most common. However, in the following paper: Dasgupta, A., & Das, D. (2019). Designer peptide amphiphiles: self-assembly to applications. Langmuir, 35(33), 10704-10724. https://doi.org/10.1021/acs.langmuir.9b01837 (see also enclosed file)
a classification is proposed where “amphiphilic peptides are a class of PAs which are made of amino acids only” and another distinct class of PAs are “Lipidated Peptide Amphiphiles. This group of Pas consists of most representatives in the literature. Posttranslational modification of signal transduction proteins with lipid groups is common” and a third class of PAs the so-called “Supramolecular PAs. In the recent past, a new research area by the name of supramolecular amphiphiles has emerged through combination of traditional amphiphiles and supramolecular chemistry”. See also for more info: https://en.wikipedia.org/wiki/Peptide_amphiphile
I understand your question since I feel that all these terms are used rather ‘sloppy’ in the literature. Historically the term amphiphilic helix was used for helices where one face of the helix is hydrophilic and one face is hydrophobic, see for example Fig. 1 in:
Article Prediction and rational design of antimicrobial peptides, in...
through time the term amphiphile: https://en.wikipedia.org/wiki/Amphiphile when it comes to peptides has been broadened to the above-mentioned term peptide amphiphile (PA) where the peptide has both a lipophilic and a hydrophilic property. As far as I can see there is no difference between "Peptide Amphiphiles (PAs)" and "Peptide-amphiphiles".
Hope this answers your question somewhat.
Best regards.
PS. If you want to investigate (and visualize) helical wheel plots you might consider Heliquest (https://heliquest.ipmc.cnrs.fr/), see for an example:
Article Identification and in silico analysis of helical lipid bindi...