Invasive alien plant species may negatively affect the biological diversity of co-occurring native species, decrease the quality of invaded habitats, and even change the functioning of entire ecosystems [1,2]. These impacts can be induced or limited by various accompanying factors, such as climate change [3], and their scale may change over time and space, which contributes to difficulties in generalisations [4]. It is also known that biological invasions of alien plants have major impacts upon the human economy, including agricultural crops. Despite this, some crucial aspects of this phenomenon have rarely been investigated. For instance, it has been demonstrated that alien plants that are attractive to pollinators may significantly influence plant–pollinator interactions in invaded areas [5]. However, based on the studies available, it cannot be unequivocally concluded whether this is negative or positive (beneficial). For example, invasive alien Impatiens species may lure and co-opt pollinators of strawberries [6], whereas alien species occurring within fields of sunflowers may enhance the productivity of this crop [7]. The relevance and intensity of the influence of alien species may be species-specific or associated with a range of biotic and abiotic factors (pollinator communities in the study area, artificial or real field study conditions, etc.).